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Simplifying 3(2x + -7) + (6 + -1x) * 0.4 = -1x Reorder the terms: 3(-7 + 2x) + (6 + -1x) * 0.4 = -1x (-7 * 3 + 2x * 3) + (6 + -1x) * 0.4 = -1x (-21 + 6x) + (6 + -1x) * 0.4 = -1x Reorder the terms for easier multiplication: -21 + 6x + 0.4(6 + -1x) = -1x -21 + 6x + (6 * 0.4 + -1x * 0.4) = -1x -21 + 6x + (2.4 + -0.4x) = -1x Reorder the terms: -21 + 2.4 + 6x + -0.4x = -1x Combine like terms: -21 + 2.4 = -18.6 -18.6 + 6x + -0.4x = -1x Combine like terms: 6x + -0.4x = 5.6x -18.6 + 5.6x = -1x Solving -18.6 + 5.6x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -18.6 + 5.6x + x = -1x + x Combine like terms: 5.6x + x = 6.6x -18.6 + 6.6x = -1x + x Combine like terms: -1x + x = 0 -18.6 + 6.6x = 0 Add '18.6' to each side of the equation. -18.6 + 18.6 + 6.6x = 0 + 18.6 Combine like terms: -18.6 + 18.6 = 0.0 0.0 + 6.6x = 0 + 18.6 6.6x = 0 + 18.6 Combine like terms: 0 + 18.6 = 18.6 6.6x = 18.6 Divide each side by '6.6'. x = 2.818181818 Simplifying x = 2.818181818
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